In the 1980s, Aero Vodochody began work on a substantially improved version of the L-39 under the designation "L-39M", where the "M" stood for "Modernised". This particular design was never built, as the organization decided to move a step further beyond it with the
"L-39MS", where "MS" unsurprisingly stood for "Modernized Super".

The L-39MS (renamed the L59 during production) was introduced with the name of "Super Albatros".The Super Albatros is derived from
the L-39ZA and looks much like it, but features: